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Finding the Third Proportional to 125,167 and 194,073

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Solution

The third proportional to 125,167 and 194,073 is: 300,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,167 : 194,073 = 194,073 : x
  2. Step 2: Convert to fraction form
    125,167/194,073 = 194,073/x
  3. Step 3: Cross multiply
    125,167x = 194,073 × 194,073
  4. Step 4: Simplify right side
    125,167x = 37,664,329,329
  5. Step 5: Solve for x
    x = 37,664,329,329/125,167
  6. Step 6: Final answer
    x = 300,912.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.